Finding the Fourth Proportional to 123.50, 185.25 and 109.19

Step by Step Solution

1. Step 1: Write the proportion equation
   123.50 : 185.25 = 109.19 : x
2. Step 2: Convert to fraction form
   123.50/185.25 = 109.19/x
3. Step 3: Cross multiply
   123.50x = 185.25 × 109.19
4. Step 4: Simplify right side
   123.50x = 20,227.45
5. Step 5: Solve for x
   x = 20,227.45/123.50
6. Step 6: Final answer
   x = 163.79